ƯCLN(18;60) LÀ :
Đề bài: Tìm ƯCLN
a, ƯCLN ( 16, 24 )
b, ƯCLN ( 60, 90 )
c, ƯCLN ( 24, 84 )
d, ƯCLN ( 16, 60 )
e, ƯCLN ( 18, 77 )
g, ƯCLN ( 18, 90 )
h, ƯCLN ( 18, 30, 42 )
k, ƯCLN ( 26, 39, 48 )
a) ƯCLN ( 16, 24 )
16 = 23 24 = 22.3
ƯCLN ( 16;24 ) = 22= 4
b) ƯCLN ( 60, 90 )
60 = 22.3.5 90=2.32.5
ƯCLN ( 60;90 ) = 2.3.5 = 30
c) ƯCLN ( 24, 84 )
24 = 23.3 84 = 22.3.7
ƯCLN ( 24;84 ) = 22.3 = 12
d) ƯCLN ( 16, 60 )
16 = 24 60 = 22.3.5
ƯCLN ( 16;60 ) = 22=4
e) ƯCLN ( 18, 77 )
18 = 2.32 77=7.11
ƯCLN ( 18; 77 ) = 1
g) ƯCLN ( 18, 90 )
18 = 2.32 90=2.32.5
ƯCLN ( 18;90 ) = 2.32 = 18
h) ƯCLN ( 18, 30, 42 )
18 = 2.32 30 = 2.3.5 42 = 2.3.7
ƯCLN ( 18;30;42 ) = 2.3=6
k) ƯCLN ( 26, 39, 48 )
26 = 2.13 39 = 3.13 48 = 24.3
ƯCLN ( 26;39;48 ) = 1
1 tìm ƯCLN của các số
a] ƯCLN [ 18 ; 30 ] b] ƯCLN [ 24 ; 48 ]
c] ƯCLN [ 18 ; 30 ;15 ] d] ƯCLN [ 24 ; 48 ; 36 ]
2 sử dụng thuật toán Ơclit để tìm
a] ƯCLN [ 174 ; 18 ] B] ƯCLN [ 124 ; 16 ]
1)
a) 18 = 2.3²
30 = 2.3.5
ƯCLN(18; 30) = 2.3 = 6
b) 24 = 2³.3
48 = 2⁴.3
ƯCLN(24; 48) = 2³.3 = 24
c) 18 = 2.3²
30 = 2.3.5
15 = 3.5
ƯCLN(18; 30; 15) = 3
d) 24 = 2³.3
48 = 2⁴.3
36 = 2².3²
ƯCLN(24; 48; 36) = 2².3 = 12
2) a) 174 = 18 . 9 + 12
18 = 12 . 1 + 6
12 = 6 . 2
Vậy ƯCLN(174; 18) = 6
b) 124 = 16 . 7 + 12
16 = 12 . 1 + 4
12 = 4 . 3
⇒ ƯCLN(124; 16) = 4
⇒ BCNN(124; 16) = 124 . 16 : 4 = 496
Đề bài: Tìm ƯCLN
a, ƯCLN ( 18, 24 )
b, ƯCLN ( 24, 36 )
c, ƯCLN ( 16, 80, 176)
d, ƯCLN ( 6, 8, 18 )
e, ƯCLN ( 24, 80, 184 )
g, ƯCLN (56, 140 )
h, ƯCLN ( 12, 14, 8 ,20 )
k, ƯCLN ( 7, 9, 12, 21 )
a) ƯCLN ( 18, 24 )
18 = 2.33 24 = 23.3
ƯCLN ( 18;24 ) = 2.3 = 6
b) ƯCLN ( 24, 36 )
24 = 23.3 36 = 22.32
ƯCLN ( 24;36 ) = 22.3 = 12
c) ƯCLN ( 16, 80, 176)
16 = 24 80 = 24.5 176 = 24.11
ƯCLN ( 16;80;176 ) = 24 =16
d) ƯCLN ( 6, 8, 18 )
6 = 2.3 8 = 23 18 = 2.32
ƯCLN ( 6;8;18 ) = 2
e) ƯCLN ( 24, 80, 184 )
24 = 23.3 80 = 24.5 184 = 23.23
ƯCLN ( 24;80;184 ) = 23 = 8
g) ƯCLN (56, 140 )
56 = 23.7 140 = 22.5.7
ƯCLN ( 56;140 ) = 22.7 = 28
h) ƯCLN ( 12, 14, 8 ,20 )
12 = 22.3 14 = 2.7 8 = 23 20 = 22.5
ƯCLN ( 12;14;8;20 ) = 2
k)ƯCLN ( 7;9;12;21 )
7 = 7 9 = 32 12 = 22.3 21 = 3.7
ƯCLN ( 7;9;12;21 ) = 1
Câu 2. Tìm ƯCLN và BCNN của 18; 45; 54
Trả lời:
18 = …………
45 = ………….
54 = ………….
ƯCLN(18;45;54) = ……………………
BCNN(18;45;54) = ……………………
\(18=2.3^2\)
\(45=3^2.5\)
\(54=2.3^3\)
\(ƯCLN=3^2=9\)
\(BCNN=2.3^3.5=270\)
ƯCLN ( 16 ; 80 ; 176 )
ƯCLN ( 6 ; 8 ; 18 )
1. Ta có: \(16=2^4;80=2^4.5;176=2^4.11\)
\(\Rightarrow\text{ƯCLN}\left(16,80,176\right)=2^4=16\)
2. Ta có: \(6=2.3;8=2^3;18=3^2.2\)
\(\Rightarrow\text{ƯCLN}\left(6,8,18\right)=2\)
tìm ƯCLN( 5, 1) b)ƯCLN(12, 18)
Ta có:
5=5
1=1
=> ƯCLN ( 5;1)=1
Ta có:
12= \(2^2.3\)
18=\(2.3^2\)
=> ƯCLN ( 12;18 ) = 2.3=6
Bài toán 2: Tìm UCLN.
e) ƯCLN (24 ; 84 ; 180)
b) ƯCLN (24 ; 36)
g) ƯCLN (56 ; 140)
h) ƯCLC (12 ; 14 ; 8 ; 20)
d) ƯCLN (6 ; 8 ; 18)
k) ƯCLN (7 ; 9 ; 12 ; 21)
e) \(24=2^3.3\)
\(84=2^2.3.7\)
\(180=2^2.3^2.5\)
\(\RightarrowƯCLN\left(24;84;180\right)=2^2.3=12\)
b) \(24=2^2.3\)
\(36=2^2.3^2\)
\(\RightarrowƯCLN\left(24;36\right)=2^2.3=12\)
g) \(56=2^3.7\)
\(140=2^2.5.7\)
\(\RightarrowƯCLN\left(56;140\right)=2^2.7=28\)
h) \(12=2^2.3\)
\(14=2.7\)
\(8=2^3\)
\(20=2^2.5\)
\(\RightarrowƯCLN\left(12;14;8;20\right)=2\)
d) \(6=2.3\)
\(8=2^3\)
\(18=2.3^2\)
\(\RightarrowƯCLN\left(6;8;18\right)=2\)
k) \(7=7\)
\(9=3^2\)
\(12=2^2.3\)
\(21=3.7\)
\(\RightarrowƯCLN\left(7;9;12;21\right)=1\)
Cho n ϵ N. Tìm: a) ƯCLN(n; n + 1)
b)ƯCLN( 2n + 1; 4n + 18)
Tìm
a)ƯCLN (2; 2+1)
b)ƯCLN (2n+1,4n+18)
a,Ta co:
2=2
3=3
Suy ra:
UCLN(2;3)=1
Vay UCLN(2;3)=1
ƯCLN(18, 24) là:
(A) 24
(B) 18
(C) 12
(D) 6
Ta có:
18 = 2 . 32
24 = 23 . 3
ƯCLN(18,24)=2.3=6
Đáp án: D